107079433920 has 280 divisors, whose sum is σ = 400949617200. Its totient is φ = 27051522048.

The previous prime is 107079433883. The next prime is 107079433921. The reversal of 107079433920 is 29334970701.

It is a super-2 number, since 2×107079433920² (a number of 23 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (107079433921) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 383766 + ... + 601194.

Almost surely, 2^107079433920 is an apocalyptic number.

107079433920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 107079433920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200474808600).

107079433920 is an abundant number, since it is smaller than the sum of its proper divisors (293870183280).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

107079433920 is a wasteful number, since it uses less digits than its factorization.

107079433920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217477 (or 217458 counting only the distinct ones).

The product of its (nonzero) digits is 285768, while the sum is 45.

The spelling of 107079433920 in words is "one hundred seven billion, seventy-nine million, four hundred thirty-three thousand, nine hundred twenty".